International Journal of Computational Engineering Research||Vol, 03||Issue, 7|| www.ijceronline.com ||July||2013|| Page 39 Dynamical Properties of Carrier Wave Propagating In a Viscous Fluid 1, Edison A. Enaibe , and 2, Osafile E. Omosede 1,2, Department of Physics,Federal University of Petroleum Resources, P.M.B. 1220, Effurun, Delta State, Nigeria. I. INTRODUCTION If a wave is to travel through a medium such as water, air, steel, or a stretched string, it must cause the particles of that medium to oscillate as it passes [1]. For that to happen, the medium must possess both mass (so that there can be kinetic energy) and elasticity (so that there can be potential energy). Thus, the medium’s mass and elasticity property determines how fast the wave can travel in the medium. The principle of superposition of wave states that if any medium is disturbed simultaneously by a number of disturbances, then the instantaneous displacement will be given by the vector sum of the disturbance which would have been produced by the individual waves separately. Superposition helps in the handling of complicated wave motions. It is applicable to electromagnetic waves and elastic waves in a deformed medium provided Hooke’s law is obeyed Interference effect that occurs when two or more waves overlap or intersect is a common phenomenon in physical wave mechanics. When waves interfere with each other, the amplitude of the resulting wave depends on the frequencies, relative phases and amplitudes of the interfering waves. The resultant amplitude can have any value between the differences and sum of the individual waves [2]. If the resultant amplitude comes out smaller than the larger of the amplitude of the interfering waves, we say the superposition is destructive; if the resultant amplitude comes out larger than both we say the superposition is constructive. The interference of one wave say ‘parasitic wave’ 1 y on another one say ‘host wave’ 2 y could cause the resident ‘host wave’ to undergo dampingto zero if they are out of phase. The damping process of 2 y can be gradual, over-damped or critically damped depending on the rate in which the amplitude of the host wave is brought to zero. However, the general understanding is that the combination of 1 y and 2 y would first yield a third stage called the resultant wave say y , before the process of damping sets in. In this work, we refer to the resultant wave as the constituted carrier wave or simply carrier wave. ABSTRACT In this work, we superposed a ‘parasitic wave’ on a ‘host wave’ and the behavior of the constituted carrier wave is studied as it flows through an elastic uniform pipe containing a viscous fluid. The dynamical characteristics of the carrier wave as it propagate through the confined space containing the fluid is effectively studied with the use of simple differentiation technique. It is shown in this work that some wave behave parasitically when they interfere with another one, provided they are basically out of phase. The incoherent nature of their source causes the carrier wave to attenuate to zero after a specified time. The phase velocity, the oscillating radial velocity and other basic physical properties of the constituted carrier wave first increases in value before they steadily attenuate to zero. The study provides a means of using the known parameter values of a given wave to determine the basic parameters of another interfering wave which were initially not known. It is established in this study that the process of attenuation of the basic properties that constitute a physical system is not instantaneous but gradual. Since the mechanics of the resident‘host wave’ would be posing a serious resistance in order to annul the destructive effect of the parasitic interfering wave.The spectrum of the decay process show exemplary behaviour at certain values of the raising multiplier. This behaviour is caused by the high attraction or constructive interference of the combined effects of the ‘host wave’ and the ‘parasitic wave’. KEY WORDS:constituted carrier wave, ‘host wave’, ‘parasitic wave’, raising multiplier, characteristic angular velocity, group angular velocity.